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arXiv · 1311.1834

Pseudodifferentialoperatoren mit nichtglatten Koeffizienten auf Mannigfaltigkeiten

Dominik Köppl
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Abstract

A generalization of differential operators are pseudodifferential operators which are used for reasoning about partial differential equations with variable coefficients. A lot of useful properties about classical pseudodifferential operators are already discovered by the works of H. Kumano-Go and L. Hörmander. In this work, we like to transfer their ideas on those operators which symbols are merely Hölder-continous. We focus on the composition of operators, symbol smoothing and operators on manifolds.

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Dominik Köppl. 2013-11-07. Pseudodifferentialoperatoren mit nichtglatten Koeffizienten auf Mannigfaltigkeiten. https://arxiv.org/abs/1311.1834

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